The formula below shows the relationship between the volume (𝑉), in cubic centimeters, of a cylinder and the radius (𝑟) and height (h), in centimeters, of the cylinder.
𝑽 = 𝝅*𝒓^𝟐*h
The formula below shows the relationship between the diameter (𝑑), in centimeters, of the circular base of the cylinder, and the radius, in centimeters, of the base.
𝒅 = 𝟐r
PART 1 Express the volume of the cylinder in terms of its diameter and height.
V = 𝝅(d /2)^𝟐*h = [ 𝝅(d)^𝟐*h ] / 4
PART 2 Using the equation in Part 1, write the formula in terms of h.
𝑽 = 𝝅*𝒓^𝟐*h divide both sides by 𝝅*𝒓^𝟐
𝑽 / [𝝅*𝒓^𝟐] = h